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Finding the Third Proportional to 75,730,532 and 165,876,400

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Solution

The third proportional to 75,730,532 and 165,876,400 is: 363,327,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,730,532 : 165,876,400 = 165,876,400 : x
  2. Step 2: Convert to fraction form
    75,730,532/165,876,400 = 165,876,400/x
  3. Step 3: Cross multiply
    75,730,532x = 165,876,400 × 165,876,400
  4. Step 4: Simplify right side
    75,730,532x = 27,514,980,076,960,000
  5. Step 5: Solve for x
    x = 27,514,980,076,960,000/75,730,532
  6. Step 6: Final answer
    x = 363,327,436.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.